Bivel was born in Paris on 14 October 1888.
He went on to study under Francois Cormon and Jean Boutry
and specialized in painting portraits, landscapes and still lifes.
He became a member of the Societe des Artistes Francais and exhibited there between 1912 and 1939 and was awarded an honourable mention in 1914, a bronze medal in 1921, a silver in 1922 and a gold medal in 1924 in conjunction with a State travel grant.
In 1914 he was awarded the military cross for valour and made a Chevalier of the Legion d’ Honneur in 1920.
In 1937 he was rewarded with a gold medal at the Exposition Universelle.
Bevel also painted a few pastels and created designs for postage stamps.
He was a member of the Cercle Volney, the Societe des Pastellistes and the Societe Internationale de Peinture et de Sculpture; he was also general secretary for the Prix du Salon.